Question

(2+а)(2-a)(4-a^2)-a^4

Answer 1

..........=(4-а²)(4-а²) - а^4=16-8a²+a^4 - a^4=16-8a²

Answer 2

Let's simplify the expression step by step:

(2 + a)(2 - a)(4 - a^2) - a^4

First, we'll simplify the terms within each pair of parentheses:

(4 - a^2)(4 - a^2) - a^4

Next, we'll expand the expression by multiplying using the FOIL method (First, Outer, Inner, Last):

(16 - 4a^2 - 4a^2 + a^4) - a^4

Simplifying further, we combine like terms:

16 - 8a^2 + a^4 - a^4

The a^4 term cancels out:

16 - 8a^2

So the simplified expression is 16 - 8a^2.